**Electromagnetism**
Three metal balls with unequal radii R1 < R2 < R3 are placed at the vertices of an equilateral triangle, whose sides have length a. The balls are connected by thin metal wires. A positively charged rod is brought into contact with one of the balls and transfers an amount of charge +Q to the system.
(a)
Show that the charge Qi on the i-th sphere (i = 1,2,3) is given by
Qi/Q = Ri/(R1+R2+R3)
(c)
What is the magnitude and direction of the electric dipole moment of the system, if two of the balls have equal radii (e.g. R1 = R2)? Hint: electric dipole moments add like vectors.
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Last edited by tsang; Sep 11th 2010 at 10:57 PM.
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